Given nonzero numbers x0, y0, u0, v0, s0, t0 which satisfy the simultaneous equations prove that there
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prove that there exist functions u(x, y), v(x, y), s(x, y), t(x, y), and an open ball containing (x0, y0), such that u, v, s, t are continuously differentiable and satisfy (*) on B, and such that u(x0, y0) = uo, v(x0, y0) = v0, s(x0, y0) = s0, and t(x0, y0) = t0.
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Let Fx y u v s t u 2 sx ty v 2 tx sy 2s 2 x 2t 2 y 1 s 2 x t 2 y ...View the full answer
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